Atkin-Lehner |
2- 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
2736k |
Isogeny class |
Conductor |
2736 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
58208772096 = 213 · 39 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -2 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4779,-126630] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:10:1] |
Generators of the group modulo torsion |
j |
149721291/722 |
j-invariant |
L |
3.5650381911473 |
L(r)(E,1)/r! |
Ω |
0.5743694603854 |
Real period |
R |
3.1034364089929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
342d2 10944bn2 2736l2 68400dm2 |
Quadratic twists by: -4 8 -3 5 |